Refinements of the Euler characteristic, old and new

Referent:

Prof. Dr. Katrin Wendland

Ort:

SR 1.067 (20.30)

Termin:

30.1.2018, 13:30 - 14:30 Uhr

Gastgeber:

Prof. Dr. Wilderich Tuschmann

Zusammenfassung

The Euler characteristic of a compact oriented manifold M is a classical invariant which by the Atiyah-Singer index theorem may be expressed as the index of a Dirac operator on M. If M is a complex manifold, then the Euler characteristic allows a refinement to the complex elliptic genus of M, as was shown in the late eighties by concerted efforts in mathematics and theoretical physics. In this talk, we will review the complex elliptic genus and explain how to further refine this invariant by methods that are motivated by conformal field theory.